Finite-Time Stability Analysis of Discrete-Time Linear Singular Systems

Abstract EN

The finite-time stability (FTS) problem of discrete-time linear singular systems (DTLSS) is considered in this paper.

A necessary and sufficient condition for FTS is obtained, which can be expressed in terms of matrix inequalities.

Then, another form of the necessary and sufficient condition for FTS is also given by using matrix-null space technology.

In order to solve the stability problem expediently, a sufficient condition for FTS is given via linear matrix inequality (LMI) approach; this condition can be expressed in terms of LMIs.

Finally, an illustrating example is also given to show the effectiveness of the proposed method.